Global solutions with infinite energy for the 1-dimensional Zakharov system
Abstract
Description
The 1-dimensional Zakharov system is shown to have a unique global solution for data without finite energy. The proof uses the " I-method " introduced by Colliander, Keel, Staffilani, Takaoka, and Tao in connection with a refined bilinear Strichatz estimate.
20 pages
20 pages